Manipulating with phases of alternately excited self-oscillators: A way to organize hyperbolic chaos and other phenomena of complex dynamics
The report is devoted to realization of some models
and phenomena of nonlinear dynamics (Bernoulli map,
Arnold's cat map, hyperbolic attractor of Smale-Williams
type, robust strange nonchaotic attractor, Mandelbrot and
Julia sets, hyperchaos). The idea is based on a use of a special
class of systems composed of two or more coupled oscillators with periodically modulated parameters. The
subsystems become active alternately and transfer the excitation each other. Manipulating with
phases of the transferred excitation (due to a proper selection of the coupling terms in the equations) allows implementation of the named models and phenomena. The proposed systems may be designed e.g. as electronic devices.